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Finding the Third Proportional to 362,012 and 795,396

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Solution

The third proportional to 362,012 and 795,396 is: 1,747,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,012 : 795,396 = 795,396 : x
  2. Step 2: Convert to fraction form
    362,012/795,396 = 795,396/x
  3. Step 3: Cross multiply
    362,012x = 795,396 × 795,396
  4. Step 4: Simplify right side
    362,012x = 632,654,796,816
  5. Step 5: Solve for x
    x = 632,654,796,816/362,012
  6. Step 6: Final answer
    x = 1,747,607.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.